Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73040k |
Isogeny class |
Conductor |
73040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-1817772587417600000 = -1 · 219 · 55 · 115 · 832 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145736,68262260] |
[a1,a2,a3,a4,a6] |
Generators |
[764:20086:1] |
Generators of the group modulo torsion |
j |
-83573247837920329/443792135600000 |
j-invariant |
L |
5.1734821884933 |
L(r)(E,1)/r! |
Ω |
0.22878099823232 |
Real period |
R |
1.1306625614064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130a1 |
Quadratic twists by: -4 |